Bunuel wrote:

If x is an integer, then is x a prime number?

(1) x is a multiple of a prime number --> if x=2 then the asnwer is Yes, but if x=4 then the answer is NO. Not sufficient.

(2) x is a product of two integers --> the same here: if x=1*2=2 then the asnwer is Yes, but if x=1*4=4 then the answer is NO. Not sufficient.

(1)+(2) The same xample: if x=2 then the asnwer is Yes, but if x=4 then the answer is NO. Not sufficient.

Answer: E.

let me just further elaborate on Bunuel

(1) let the prime number be 2 then 2*1= 2 this is a prime number

again 2*2 =4 this is not a prime number so both 2 and 4 are multiples of the prime number 2, but 2 is a prime number and 4 is not so (1) is not sufficient

similarly 6 is a product of 2 integers 3*2 and 6 is not a prime number

but 2 is also a multiple of 2 integers 1*2 and 2 is a prime number

so (2) is also not sufficient

Taking both (1) and (2)

First number 2 , (1) Is a multiple of a prime no.( 2*1)

(2) is the product of 2 integers (2*1)

and 2 is a prime number

second number 6, (1) Is a multiple of a prime no.( 3*2)

(2) is the product of 2 integers (3*2)

and 6 is not a prime number

as both 1 and 2 together do not give a consistent answer the answer is e

Hope I have understood it correctly ,

Thanks Bunuel